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122102019 = 33132331493
BaseRepresentation
bin1110100011100…
…10000100000011
322111202102111000
413101302010003
5222224231034
620041023043
73011564364
oct721620403
9274672430
10122102019
1162a18066
1234a84a83
131c3b1920
1412305b6b
15aabd599
hex7472103

122102019 has 32 divisors (see below), whose sum is σ = 195773760. Its totient is φ = 74767104.

The previous prime is 122102017. The next prime is 122102023. The reversal of 122102019 is 910201221.

It is not a de Polignac number, because 122102019 - 21 = 122102017 is a prime.

It is a super-2 number, since 2×1221020192 = 29817806087752722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122101992 and 122102010.

It is not an unprimeable number, because it can be changed into a prime (122102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81037 + ... + 82529.

It is an arithmetic number, because the mean of its divisors is an integer number (6117930).

Almost surely, 2122102019 is an apocalyptic number.

122102019 is a deficient number, since it is larger than the sum of its proper divisors (73671741).

122102019 is a wasteful number, since it uses less digits than its factorization.

122102019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 122102019 is about 11049.9782352727. The cubic root of 122102019 is about 496.1057740836.

The spelling of 122102019 in words is "one hundred twenty-two million, one hundred two thousand, nineteen".

Divisors: 1 3 9 13 27 39 117 233 351 699 1493 2097 3029 4479 6291 9087 13437 19409 27261 40311 58227 81783 174681 347869 524043 1043607 3130821 4522297 9392463 13566891 40700673 122102019